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Popular >

simplify 500*e^{-2.5}

Solution

simplify

500 \cdot e^{- 2.5}

Solution

41.04249 \dots

Solution steps

500 e^{- 2.5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 500 \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 500}{e ^{2.5}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{500}{12.18249 \dots}

Divide the numbers:

\frac{500}{12.18249 \dots} = 41.04249 \dots

= 41.04249 \dots

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Frequently Asked Questions (FAQ)

What is 500*e^{-2.5} ?
The solution to 500*e^{-2.5} is 41.04249…